{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "cc2d99ef",
   "metadata": {},
   "source": [
    "# [via. 知乎: 原初核合成：氦4丰度](https://zhuanlan.zhihu.com/p/352252944)\n",
    "# [via. GitHub: EnthalpyBill/ASTRO534-Cosmology](https://github.com/EnthalpyBill/ASTRO534-Cosmology/tree/main/project1-4He_abundance)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "6572bd41",
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.integrate import odeint\n",
    "plt.style.use('https://gitee.com/Astro-Lee/storage/raw/master/mystyle.mplstyle')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "id": "edc58455",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# numerically solve the rate equation: dX/dy = func(X, y)\n",
    "func = lambda X, y: -2.858 * (1+np.exp(-y)) * (1+0.487*y+0.071*y**2) * ( X - (1/(1+np.exp(y))) ) / y**4\n",
    "\n",
    "y_list = 10**np.linspace(-6, 2, 100+1)\n",
    "Xn = np.squeeze(odeint(func, 0.5, y_list)) # numerically solve ODE\n",
    "Xn_eq = 1/(1+np.exp(y_list))\n",
    "\n",
    "# make plot\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(np.log10(y_list), np.log10(Xn), lw=1, c='k', label=r'$X_{\\rm n}$')\n",
    "ax.plot(np.log10(y_list), np.log10(Xn_eq), lw=1, c='b', ls='--', label=r'$X_{\\rm n,EQ}$')\n",
    "\n",
    "ax.set_xlabel(r'$\\lg{x}$')\n",
    "ax.set_ylabel(r'$\\lg{X_n}$')\n",
    "\n",
    "ax.set_xlim(-1,1.5)\n",
    "ax.set_xticks([-1,-0.5,0,0.5,1,1.5])\n",
    "\n",
    "ax.set_ylim(-1,-0.2)\n",
    "ax.set_yticks([-1,-0.8,-0.6,-0.4,-0.2])\n",
    "\n",
    "ax.legend()\n",
    "\n",
    "fig.savefig('../picture/Xn1.pdf', transparent=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "id": "73f6e0fb",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# numerically solve the rate equation: dX/dy = func(X, y) + func2(X, y)\n",
    "func2 = lambda X, y: func(X, y) - 1e-3 * y * X\n",
    "Xn2 = np.squeeze(odeint(func2, 0.5, y_list)) # numerically solve ODE\n",
    "\n",
    "# make plot\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(np.log10(y_list), np.log10(Xn), lw=1, c='k', label=r'$X_{\\rm n}$')\n",
    "ax.plot(np.log10(y_list), np.log10(Xn2), lw=1, c='r', ls=':', label=r'$X_{\\rm n} \\rm{(only~\\beta~decay)}$')\n",
    "ax.plot(np.log10(y_list), np.log10(Xn_eq), lw=1, c='b', ls='--', label=r'$X_{\\rm n,eq}$')\n",
    "\n",
    "ax.set_xlabel(r'$\\lg{x}$')\n",
    "ax.set_ylabel(r'$\\lg{X_n}$')\n",
    "\n",
    "ax.set_xlim(-1,1.5)\n",
    "ax.set_xticks([-1,-0.5,0,0.5,1,1.5])\n",
    "\n",
    "ax.set_ylim(-1,-0.2)\n",
    "ax.set_yticks([-1,-0.8,-0.6,-0.4,-0.2])\n",
    "\n",
    "ax.legend()\n",
    "\n",
    "fig.savefig('../picture/Xn2.pdf', transparent=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "id": "cab0c66a",
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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      "text/plain": [
       "<Figure size 1200x800 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# compute 4He abundance\n",
    "eta = 10**np.linspace(-11, -8, 100)\n",
    "\n",
    "Yp = 0.2262+0.0135*np.log(eta/1e-10)\n",
    "\n",
    "# make plot\n",
    "fig, ax = plt.subplots()\n",
    "\n",
    "ax.plot(np.log10(eta), Yp, c='k', lw=1, label=r'$Y_P=0.2262+0.0135\\ln{(\\eta_b/10^{-10})}$')\n",
    "ax.fill_between([np.log10(6.038735e-10),np.log10(6.115036e-10)], [0,0], [1,1], \n",
    "                facecolor='r', edgecolor=None, alpha=0.2, label=r'$\\eta_b=(6.077\\pm0.038)\\times10^{-10}$')\n",
    "\n",
    "ax.fill_between([-11, -8], [0.223,0.223], [0.274,0.274], \n",
    "                facecolor='b', edgecolor=None, alpha=0.2, label=r'$Y_P=0.249^{+0.025}_{-0.026}$')\n",
    "\n",
    "ax.text(np.log10(6.076886e-10),0.22+0.0135*np.log(6.076886),r'$Y_P\\simeq %.4f$'%(0.2262+0.0135*np.log(6.076886)))#位置\n",
    "ax.plot(np.log10(6.076886e-10),0.2262+0.0135*np.log(6.076886),'.',mfc='r',mec='w')\n",
    "\n",
    "ax.set_xlabel(r'$\\lg{\\eta_b}$')\n",
    "ax.set_ylabel(r'$Y_P$')\n",
    "ax.text(-10,0.21,r'$\\rm Planck\\ Collaboration:\\ Planck\\ 2015\\ results.\\ XIII.$',fontsize=12)\n",
    "\n",
    "ax.set_xlim(-10.5,-8)\n",
    "# ax.set_xticks([-11, -10, -9, -8])\n",
    "\n",
    "ax.set_ylim(0.19, 0.31)\n",
    "\n",
    "ax.legend()\n",
    "\n",
    "fig.savefig('../picture/Yp.pdf', transparent=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "id": "77423aeb",
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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